Question

Which is a factor of x^2-9x+14?
A. X-9
B. X-2
C. X+5
D. X+7

Answer 1

Answer : B

x^2-9x+14

Lets factor
`x^2-9x+14`

We find out two factors whose product is +14 and sum is -9

Two factors are -2 and -7, we split the middle term -9x using -2 and -7

`x^2-2x-7x+14`

Group first two terms and last two terms

Then factor out GCF from each term

`(x^2-2x)(-7x+14)`

`x(x-2)-7(x-2)`

`(x-2)(x-7)`

so x-2 is one of the factor